Geodesic
The half-perimeter generating function of gated and wicketed Ferrers diagrams
Journal of integer sequences, Tome 10 (2007) no. 10.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We show that the half-perimeter generating functions for the number of wicketed and gated Ferrers diagrams is algebraic. Furthermore, the generating function of the wicketed Ferrers diagrams is closely related to the generating function of the Catalan numbers. The methodology of the experimentation, as well as the proof, is the umbral transfer matrix method.
Classification : 05A15
Keywords: wicketed ferrers diagram, gated ferrers diagram, umbral transfer matrix method 
@article{JIS_2007__10_10_a3,
     author = {Ayyer, Arvind},
     title = {The half-perimeter generating function of gated and wicketed {Ferrers} diagrams},
     journal = {Journal of integer sequences},
     publisher = {mathdoc},
     volume = {10},
     number = {10},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_10_a3/}
}
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Ayyer, Arvind. The half-perimeter generating function of gated and wicketed Ferrers diagrams. Journal of integer sequences, Tome 10 (2007) no. 10. http://geodesic.mathdoc.fr/item/JIS_2007__10_10_a3/